The following sum is a finite Fourier series.

(a) Use Exercise 89 to show that the th coefficient a_n is given by

(b)

Data from in Exercise 89

The inner product of two functions ƒ and g on [a, b] is given by

Two distinct functions ƒ and g are said to be orthogonal if〈ƒ, g〉= 0. Show that the following set of functions is orthogonal on [-π, π].

Transcribed Image Text:

N f(x) = Σ a sin ix i=1